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attashe74 [19]
3 years ago
11

-px+r=-8x-2 Solve for x

Mathematics
1 answer:
lions [1.4K]3 years ago
4 0

So firstly, add px onto both sides of the equation: r=-8x+px-2

Next, add 2 to both sides of the equation: r+2=-8x+px

Next, factor out -x on the right side of the equation: r+2=-x(8-p)

Next, divide both sides by (8 - p): \frac{r+2}{8-p}=-x

Lastly, multiply both sides by -1 and <u>your answer will be -\frac{r+2}{8-p}=x</u>

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Please help and please slove and explain im not getting this
OLga [1]

Answer:

x-intercept= (3⅓, 0)

y-intercept= (0, 4²⁄₇)

Please see the attached picture for the graph.

Step-by-step explanation:

-9x -7y= -30

Let's simplify the equation by dividing both sides by -1.

9x +7y= 30

x- intercept occurs at y= 0.

When y= 0,

9x +7(0)= 30

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x = 3 \frac{1}{3}

Thus, x- intercept occurs at (3⅓, 0).

y-intercept occurs at x= 0.

When x= 0,

9(0) +7y= 30

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y = 4 \frac{2}{7}

Thus, y- intercept occurs at (0, 4²⁄₇).

_____

To graph the equation, draw the x and y axis on a graph paper. Use an appropriate scale to divide the line into equal parts. Next, plot the points (3⅓, 0) and (0, 4²⁄₇). Then, join the two points with a straight line.

Notes:

  • x- intercept is the point at which the graph cuts through the x- axis. In this case, your x- axis is the horizontal line that runs from left to right of your graph paper. In order for a point to be on this horizontal line, look at the y- axis and notice that it sits at y= 0. The same reason applies for why the y- intercept occurs at x= 0. This has to do with the two axis cutting each other at the point (0,0), resulting in the x and y coordinates of 0 for the y and x intercepts respectively.

  • Simplifying the equation in the first step is not necessary, but it is a good practice and might reduce carelessness.

5 0
2 years ago
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